Harmonic map analysis of SU(N) gravitating skyrmions

Brihaye, Yves and Hartmann, Betti and Ioannidou, Theodora. and Zakrzewski, Wojtek
(2004)
Harmonic map analysis of SU(N) gravitating skyrmions.
Physical Review D: Particles, Fields, Gravitation, and Cosmology,
69
(12).
ISSN 0556-2821.
(doi:10.1103/PhysRevD.69.124035)
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Abstract

In this paper the SU(N) Einstein-Skyrme system is considered. We express the chiral field [which is not a simple embedding of the SU(2) field] in terms of harmonic maps. In this way, SU(N) spherical symmetric equations can be obtained easily for any N and the gravitating Skyrmion solutions of these equations can be studied. In particular, the SU(3) case is considered in detail and three different types of gravitating Skyrmions with topological charge four, two, and zero, respectively, are constructed numerically. Note that the configuration with zero topological charge corresponds to mixtures of Skyrmions and anti-Skyrmions.